Solve the inequality, if possible.
2(6+x)>15-5x
Select the correct choice below and, if necessary, fill in the answer box to complete your
a. The solution is
B.The solution is all real numbers.
C.There is no solution.
To solve the inequality 2(6+x) > 15-5x, we will distribute the 2 on the left side and simplify both sides:
12 + 2x > 15 - 5x
Next, we will combine like terms by adding 5x to both sides:
12 + 7x > 15
Then, we will subtract 12 from both sides:
7x > 3
Finally, we will divide both sides by 7 to solve for x:
x > 3/7
Therefore, the solution to the inequality is:
a. The solution is x > 3/7.